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Finding the Fourth Proportional to 992.22, 1,485.10 and 732.12

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Solution

The fourth proportional to 992.22, 1,485.10 and 732.12 is: 1,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.22 : 1,485.10 = 732.12 : x
  2. Step 2: Convert to fraction form
    992.22/1,485.10 = 732.12/x
  3. Step 3: Cross multiply
    992.22x = 1,485.10 × 732.12
  4. Step 4: Simplify right side
    992.22x = 1,087,271.41
  5. Step 5: Solve for x
    x = 1,087,271.41/992.22
  6. Step 6: Final answer
    x = 1,095.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.